New answers tagged tiling
45
This paper by Joel Haddley and Stephen Worsley answers a slightly different question - finding monohedral disc dissections where not all pieces touch the centre - but the results generally apply to this problem too.
My favourite answer is this one:
Note that this one has interior pieces that don't even have a single point on the boundary.
There is an ...
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This is a minor upgrade on @sybog64's answer:
One way of thinking about it is to start with this
configuration and then taking groups of 2 slices and rotating each group by 120°.
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I haven't found a perfect solution, my pieces are symmetrical but not identical
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Solving strategy:
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There is a solution which is unique (up to rotation).
If you want to solve it yourself, here is a hint describing the orientation of the pieces:
Solution:
To be honest, I used a computer to solve it. In general there is no quick way to find a solution to an edge-matching puzzle, or prove whether there is or isn't a solution except in some specific extreme ...
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